Mat 126 Week 2 Assignment

Are You Sure It’s Fat Free?The question given in this assignment is an eye opener because you would think that the labels on prepackaged items are reliable. How do you know the food is totally fat free as it claims? In society we are going by what is on the box but is it actually true. In the industry they do figures by the wright not by how many calories it has. When industries use there math figures they are not telling the whole truth. People should know how to calculate to know if the prepackaged items are totally fat free. I did notice that most companies are trying change how they process foods to help with the obesity that is going on so rapid in our society. To calculate the fat content is to first get all the information off the box or label. Write down the calories and the how many grams in the protein. First multiply the gram by 4 calories per gram instead of 9 calories per gram, next divide the calories per gram by 100% to get the percentage of calories from the fat content. Breakfast: Kashi Trail Mix Chewy Granola Bar

Calories140
Protein6g
How to calculate:
6 times 4 calories per grams=24
Take 24 and divide it by the number of calories 140 to give you= 0.17 Then we take the 0.17 and multiply it by 100% to give you= 17.14% of calories that come from fat.

Are You Sure It’s Fat Free?
Lunch/Snack: Double Stuff Oreo
Calories 140
Protein 1g
How to calculate:
1 times 4 calories per gram=4Then take 4 and divide it by the number of calories 140 to give you=0.0285 Then take the 0.0285 and multiply it by 100% to give you=2.8571% of calories that come from fat. Dinner: Chef Boyardee Beef Ravioli in Tomato and Meat Sauce

Calories220
Protein 7g
How to calculate:
7 times 4 calories per gram=28
Then take 28 and divide it by the number of calories 220 to give you=0.1272 Then take the 0.1272 and multiply it by 100% to give you=12.72% of calories that...

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...of the calories come from fat. The package states this amount as well, but they rounded it down to 3% even. This is the only package that seems to be extremely close to accurate.
The last package I chose was cheetos puffs. Now this is my favorite snack food of all time and I consume quite a bit of them on a daily basis, so I am hoping that the damage isn’t too devastating.
Total grams of fat= 10g
Calories per gram of fat= 4
Total calories= 150
Work: 10x4=40 (40/150)*100= .2666*100= 26.67= 26.67%
This means that 26.67% of the calories are from fat. Whereas the package states that the percentage is 15%. This is much worse than I was hoping it would be, but I am not at all surprised by this development.
After completing this assignment I much more aware of how careful I need to be when making my food choices. Sometimes I take the convenience of a meal into mind more so than the actual health of it all. It is definitely time for us to start calculating what exactly our food is consisted of, and what we are putting in our bodies.
References
Bluman, A. G. (2011). Mathematics in our world (1st ed. Ashford University Custom). United States: McGraw-Hill....

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MAT 540 Week2 Quiz
Question 1
If variable costs increase, but price and fixed costs are held constant, the break even point will decrease.
Question 2
Parameters are known, constant values that are usually coefficients of variables in equations.
Question 3
Probabilistic techniques assume that no uncertainty exists in model parameters.
Question 4
In general, an increase in price increases the break even point if all costs are held constant.
Question 5
P(A | B) is the probability of event A, if we already know that event B has occurred.
Question 6
A continuous random variable may assume only integer values within a given interval.
Question 7
The events in an experiment are mutually exclusive if only one can occur at a time.
Question 8
A bed and breakfast breaks even every month if they book 30 rooms over the course of a month. Their fixed cost is $4200 per month and the revenue they receive from each booked room is $180. What their variable cost per occupied room?
Question 9
The indicator that results in total revenues being equal to total cost is called the
Question 10
If the price increases but fixed and variable costs do not change, the break even point
Question 11
A university is planning a seminar. It costs $3000 to reserve a room, hire an instructor, and bring in the equipment. Assume it costs $25 per student for the administrators to provide the course materials. If...

...Mass
Index
By: Lashell Marrow
Instr: Shenita Talton
MAT 221: Introduction to Algebra
Date : April 7, 2013
The Body Mass Index (BMI) is an indicator to help people to determine if they might have a longer life span than average, are probably not overweight, are probably overweight, or are obese. The intervals for each are from 17 to 22, 23 to 24.999, 25 to 29.9, and over 30 respectively. Notice that it is between 17 and 22. That is not inclusive but rather a compound inequality statement which is 17 &lt; BMI &lt; 22. Moreover, over 30 is an inequality statement with a positive infinity which is any BMI that is greater than 30, or BMI &gt; 30 which will be written as (30, +∞). Anyway, my BMI will be calculated, and I will explain how I arrived at the results. Sometimes, a person’s BMI can be misleading, so reasons will be provided about why. Finally, there is an evaluation of the regions outside of the “probably not overweight” range by using the set and interval notations along with a simple graph of the regions.
Now, I am five feet and eleven inches tall, and I weigh 180 pounds. Remember that one foot is equivalent to twelve inches. Since I am five feet tall, we will multiply five with twelve to get sixty. Now, I am an additional eleven inches taller than five feet, that is, sixty inches. Hence, we will add eleven inches to sixty inches to make that seventy one inches. The formula is:
BMI = (703W)/(H^2) where BMI is the Body Mass...

...﻿119. Explain how to solve an exponential equation when both sides can be written as a power of the same base.
When an exponential equation has both sides of the equation as the same base one needs to rewrite the equation in the form of bM=bN. For instance, 24x-3=8. To make this the same base we need to make 8 a base of two by writing it as 2^3. Then we have 24x-3=23. Then we get rid of the base and get 4x-3=3. Finally we solve for x.
4x-3=3
4x=6
x=23
120. Explain how to solve an exponential equation when both sides cannot be written as a power of the same base. Use 3x = 140 in your explanation.
To solve this equation one needs to use a natural logarithm or ln.
First take the ln of both sides, ln 3x= ln 140
Then using bx= x ln b, move the variable to the front, x ln 3 = ln 140
Solve for x, x= ln3ln140= 1.0986122887/4.9416424226 = 0.22231723680404.
121. Explain the differences between solving log31x - 12 = 4 and log31x - 12 = log3 4.
When solving log31x - 12 = 4 one needs to write it in the form of bc=M. To do this we do the following; logbM=c means bc=M.
1) log31x - 12 = 4
2) 34=x-12
3) 81=x-12
4) x=93
In the case of log31x - 12 = log3 4, since the log is the same on both sides of the equation the will be omitted. The new equation would be; 1x-12=4. Then solve as normal. Add 12 to 4 to get 16, leaving 1x, which is just x and you have x=16.
122. In many states, a 17% risk of a car accident with a blood alcohol...

...Week 4 Assignment 1
MAT126
August 5th 2013
Following completion of your readings, complete exercise 4 in the “Projects” section on page 620 of Mathematics in Our World. In the two step process is to sure you build or generate at least five more Pythagorean Triples using one of the many formulas available online for doing this. Then after building the triples, verify each of them in the Pythagorean Theorem equation.
The Pythagorean Theorem is based on Euclidian Geometry among the relation between the three sides of a right triangle which basically states a2+b2=c2. Or the fact that a2 = one side of the right triangle + b2 = 2nd side of the right triangle equals C2 or the hypotenuse.
For this assignment I figured I would do 2 proof types for each triple.
For any natural number m>1,
a2+b2=c2
(2m)2 + (m2-1)2 = (m2+1)2
Example1:
m= 4
2m = 8 = side A of right
m2-1 = 15 = side B of right
m2+1 = 17 = side C of the right (Hypotenuse)
Pythagorean triple (8,15,17)
Proof:
(2m)2 + (m2-1)2 = (m2+1)2
(2*4)2+(42-1)2=(42+1)2
(8)2+(16-1)2=(16+1)2
64+225=289
Proof2:
a2+b2=c2
82+152=172
64+225=289
Example2:
m=6
2m=12 = side A of...

...this podcast are experts in the field that they are talking about shows that there is validity in this podcast. Even though this podcast was recorded in 2008 it still has validity when you compare the information provided in it to research that has been conduct today.
As I stated before it is easy to access any information that you want as long as you have access to the internet. It is amazing that you can find studies of things that was conducted in other countries all because it was available on the internet. For example the University in Hong Kong did a research on how undergraduate students conduct research for their assignments. They conducted their research on eleven students. The study of the paper was based on some data collected through process logs and interviews with a small group of English as a second language students writing academic assignments at an English-medium university in Hong Kong (Li, 2012). Even though we are culturally different we all experience some of the same things. For example with this study that was conducted at a University in Hong Kong the students conduct research the same way that we do as in using the internet. There are also other countries schools.
There are many factors that anyone should consider when they are deciding on whether to use a particular internet source for the information they are researching. The factors that I look for are credibility, currency, and objectivity. When looking for...

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This document MAT126Week 1 Quiz contains solutions on these questions:
Classify the angle as acute, right, obtuse, or straight.
Find the perimeter.
Identify angles 6 and 7 as alternate interior, alternate exterior, corresponding, or vertical.
Find the domain and range of the relation, and state whether or not the relation is a function. {(7, 2), (8, 2), (9, 2), (10, 2)}
Adult tickets for a play cost $19 and child tickets cost $17. If there were 36 people at a performance and the theatre collected $646 from ticket sales, how many children attended the play?
Classify the triangle according to sides and angles.
Find the circumference of the circle. Use ? = 3.14.
Determine whether or not the relation is a function. {(-3, 6), (-2, 7), (-1, 8), (0, 9)}
Carla invested $23,000, part at 16% and part at 15%. If the total interest at the end of the year is $3,500, how much did she invest at 16%?
The amount of revenue a company makes per day by selling x items is given by the function f(x) = 14x - 0.2x2. How many items should be sold if the company wants to maximize their profit?
Find the y-intercept. x + 4y = -4
The triangles in the figure below are similar. Use the proportional property of similar...

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This document MAT126Week 1 Quiz contains solutions on these questions:
A single card is drawn from a deck. What is the probability of getting a queen or a king?
How many different three letter permutations can be formed from the letters in the word clipboard?
In a classroom, the students are 11 boys and 1 girl. If one student is selected at random, find the probability that the student is a girl.
A box contains five blue, eight green, and three yellow
marbles. If a marble is selected at random, what is the
probability that it is yellow?
The odds in favor of an event are 10:1. Find the probability
that the event will occur.
Two dice are rolled. Find the probability of getting a sum greater than 8.
Find the future value of an annuity if you invest $1,550 annually for 5 years at 11.5% compounded annually.
Express 81.6% as a decimal.
Find the missing value.
A single card is drawn from a deck. Find the probability of selecting a 10 or a diamond.
Dr. Collins borrowed some money to buy new furniture for her office. She paid $720.00 simple interest on a 7.5-year loan at 16%. Find the principal.
A single card is drawn from a deck. What is the probability of getting a queen or a king?
A package contains 9 candy canes, 6 of which...